8320138560 has 280 divisors, whose sum is σ = 29735145000. Its totient is φ = 2208301056.

The previous prime is 8320138543. The next prime is 8320138579. The reversal of 8320138560 is 658310238.

8320138560 is a `hidden beast` number, since 83 + 2 + 0 + 13 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2702336256 + 5617802304 = 51984^2 + 74952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6660816 + ... + 6662064.

Almost surely, 2^8320138560 is an apocalyptic number.

8320138560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8320138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14867572500).

8320138560 is an abundant number, since it is smaller than the sum of its proper divisors (21415006440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8320138560 is a wasteful number, since it uses less digits than its factorization.

8320138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8320138560 is about 91214.7935370135. The cubic root of 8320138560 is about 2026.3300562451.

Adding to 8320138560 its reverse (658310238), we get a palindrome (8978448798).

The spelling of 8320138560 in words is "eight billion, three hundred twenty million, one hundred thirty-eight thousand, five hundred sixty".